There are 3 red and 5 black balls in bag \( A^{\prime} \); and 2 red and 3 black balls in bag "...

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There are 3 red and 5 black balls in bag \( A^{\prime} \); and 2 red and 3 black balls in bag " \( B^{\prime} \). One ball is drawn from bag ' \( A \) ' and two from bag ' \( B \) '. Find the probability that out of the 3 balls drawn one is red and 2 are black."
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